(25 points) Solve the heat equation Ut = 2uxx, - < x < 1, t > 0, subject to initial and boundary conditions: - u(0, x) =
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(25 points) Solve the heat equation Ut = 2uxx, - < x < 1, t > 0, subject to initial and boundary conditions: - u(0, x) =
(25 points) Solve the heat equation Ut = 2uxx, - < x < 1, t > 0, subject to initial and boundary conditions: - u(0, x) = f(x), -1 < x <7; ut, -1) = u(t, 7), uz(t, -1) = uz(t, 7), t > 0.
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